document.write( "Question 1209460: Hi
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document.write( "Some sweets were distributed to a group of children. There were as many boys as there were girls. Each girl was given 5 sweets and each boy was given 8 sweets. The boys received 183 more sweets than the girls. How many children were there.\r
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Algebra.Com's Answer #848879 by mccravyedwin(408)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Hi\r\n" ); document.write( "Some sweets were distributed to a group of children. \r\n" ); document.write( "There were as many boys as there were girls. \r\n" ); document.write( "\r\n" ); document.write( "There were n boys and n girls.\r\n" ); document.write( "\r\n" ); document.write( "Each girl was given 5 sweets \r\n" ); document.write( "\r\n" ); document.write( "So the girls had 5n sweets\r\n" ); document.write( "\r\n" ); document.write( "and each boy was given 8 sweets. \r\n" ); document.write( "\r\n" ); document.write( "So the boys had 8n sweets.\r\n" ); document.write( "\r\n" ); document.write( "The boys received 183 more sweets than the girls. \r\n" ); document.write( "\r\n" ); document.write( "So 8n is 183 more than 5n.\r\n" ); document.write( "\r\n" ); document.write( "8n = 5n + 183\r\n" ); document.write( "\r\n" ); document.write( "How many children were there?\r\n" ); document.write( "\r\n" ); document.write( "Subtract 5n from each side\r\n" ); document.write( "\r\n" ); document.write( "3n = 183\r\n" ); document.write( "\r\n" ); document.write( "divide both sides by 3\r\n" ); document.write( "\r\n" ); document.write( "n = 61\r\n" ); document.write( "\r\n" ); document.write( "So there were 61 boys and 61 girls, or 122 children.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |